Question

Determine the greatest mass among the following measurements.

a) 2.0 X106 milli gram b) 5.0X1012 pico gram c) 9.0X109 micro gram and d) 2.0X102 kilo gram

b) 5.0X1012 pico gram
d) 2.0X102 kilo gram
c) 9.0X109 micro gram
a) 2.0 X106 milli gram

Answer 1

The greatest mass among the following measurements is:

`2*10^(2)kg = 200kg`

Explanation:

I am going to convert each one of these measurements to kilogram, then the biggest value in kg is the greatest mass.

a)
`2*10^(6)mg`

Each kg has
`10^(6) kg`.

So

1 kg -
`10^(6) kg`

x kg -
`2*10^(6)mg`

x = 2.

So

`2*10^(6)mg = 2kg`

b)
`5*10^(12)pg`

Each kg has
`10^(15)pg`.

So

1 kg -
`10^(15)pg`

x kg -
`5*10^(12)pg`

`x = 5*10^(-3)kg`

This is a smaller mass than a)

c)
`9.0*10^(9) mcg`

Each kg has
`10^(9)mcg`.

So

1 kg -
`10^(9)mcg`

x kg -
`9*10^(9) mcg`

x = 9kg.

`9.0*10^(9) mcg = 9kg`

For now, this is the greatest mass.

d)
`2*10^(2)kg = 200kg`

This is the greatest mass.

Answer 2

Answer:
`d) 2.0*10^2`kilo gram

Step-by-step explanation:

To know the greatest mass we have to convert all these measurements to the same unit, the gram. For that we have to state the next units:

`mili = 10^-^3\\micro = 10^-^6\\pico = 10^-^1^2\\kilo= 10^3`

Now we can convert the measurements to the same unit:

`b)5.0*10^1^2*10^-^1^2gram=5.0gram\\d)2.0*10^2*10^3gram=2.0*10^5gram\\c)9.0*10^9*10^-^6gram=9.0*10^3gram\\a)2.0*10^6*10^-^3gram=2.0*10^3gram`

Comparating the values, we can see that the option d) is the greatest mass.